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26983944 = 233213127227
BaseRepresentation
bin110011011101…
…1111000001000
31212202221000100
41212323320020
523401441234
62402205400
7445234251
oct146737010
955687010
1026983944
1114260489
129053860
13578a240
143825b28
152580399
hex19bbe08

26983944 has 96 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 8201088.

The previous prime is 26983937. The next prime is 26983961. The reversal of 26983944 is 44938962.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26983944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118759 + ... + 118985.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 226983944 is an apocalyptic number.

26983944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26983944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).

26983944 is an abundant number, since it is smaller than the sum of its proper divisors (52688376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26983944 is a wasteful number, since it uses less digits than its factorization.

26983944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 26983944 is about 5194.6072036295. The cubic root of 26983944 is about 299.9405215418.

The spelling of 26983944 in words is "twenty-six million, nine hundred eighty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 227 234 254 312 381 454 468 508 681 762 908 936 1016 1143 1362 1524 1651 1816 2043 2286 2724 2951 3048 3302 4086 4572 4953 5448 5902 6604 8172 8853 9144 9906 11804 13208 14859 16344 17706 19812 23608 26559 28829 29718 35412 39624 53118 57658 59436 70824 86487 106236 115316 118872 172974 212472 230632 259461 345948 374777 518922 691896 749554 1037844 1124331 1499108 2075688 2248662 2998216 3372993 4497324 6745986 8994648 13491972 26983944